{
  "id": "1606.00212",
  "version": "v1",
  "published": "2016-06-01T10:49:28.000Z",
  "updated": "2016-06-01T10:49:28.000Z",
  "title": "Bulk flow scaling for turbulent channel and pipe flows",
  "authors": [
    "Xi Chen",
    "Fazle Hussain",
    "Zhen-Su She"
  ],
  "comment": "4 pages, 4 figures",
  "categories": [
    "physics.flu-dyn"
  ],
  "abstract": "We report a theory deriving bulk flow scaling for canonical wall-bounded flows. The theory accounts for the symmetries of boundary geometry (flat plate channel versus circular pipe) by a variational calculation for a large-scale energy length, which characterizes its bulk flow scaling by a simple exponent, i.e. $m=4$ for channel and 5 for pipe. The predicted mean velocity shows excellent agreement with several dozen sets of quality empirical data for a wide range of the Reynolds number (Re), with a universal bulk flow constant $\\kappa\\approx0.45$. Predictions for dissipation and turbulent transport in the bulk flow are also given, awaiting data verification.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-01T10:49:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "76F40"
    ],
    "keywords": [
      "pipe flows",
      "turbulent channel",
      "universal bulk flow constant",
      "flat plate channel",
      "large-scale energy length"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}